Kirt, this is an interesting interpretation of the underlying geometry of the painting. Thanks alot 
Geometry defines order. It is always very useful to be able to disect things into geometrical entities and relationships. They are good for controlling and evaluating the composition. In 3D design, i.e. architecture, this becomes even more useful, as directionality and intensity become more sensitive to the overall form. What makes it more difficult, is the multidimensional aspects of geometry to adhere to certain functions.
The problem with geometry, is that it lacks the ability to connect subjects to objects under one structure. I think it is simply by definition, an abstract representation!!
Personally, I use different metaphor for that connection, while geometry is part of its constituents. That metaphor is “streams of energy” which could represent intensities, static & dynamic, light and matter, events & people, sensation and perception, as well as complexity and disorder, and most importantly TIME.
Diagonal theorm, includes directionality but no magnitude. It is basically a door step into the world of composition, which could be applied not only to painting, but to theatre, music, architecture, poetry, calligraphy, and most other audio/visio arts. Essentially, it is natural in our perceptions.
Oh, did I say that this was the most valuable lesson so far on this forum, well done Kirt !